1035563961600 has 2592 divisors, whose sum is σ = 4793511945600. Its totient is φ = 217379635200.

The previous prime is 1035563961503. The next prime is 1035563961611. The reversal of 1035563961600 is 61693655301.

1035563961600 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 5 + 6 + 39 + 6 + 1 + 600 = 666.

It is a super-3 number, since 3×1035563961600³ (a number of 37 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6595948722 + ... + 6595948878.

Almost surely, 2^{1035563961600} is an apocalyptic number.

1035563961600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035563961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396755972800).

1035563961600 is an abundant number, since it is smaller than the sum of its proper divisors (3757947984000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1035563961600 is a wasteful number, since it uses less digits than its factorization.

1035563961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 1035563961600 in words is "one trillion, thirty-five billion, five hundred sixty-three million, nine hundred sixty-one thousand, six hundred".